Metrics for Diagrams.Backend.Rasterific:$crender from diagrams-rasterific-1.3.1.3

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.3s (16.4%)

Memory

29.2MiB live, 983.6MiB allocated

Samples

590.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 387.0ms

ival-mult: 298.0ms (77% of total)

ival-sub: 43.0ms (11.1% of total)

ival-add: 33.0ms (8.5% of total)

ival-true: 5.0ms (1.3% of total)

exact: 5.0ms (1.3% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

preprocess143.0ms (1.8%)

Memory

-8.5MiB live, 113.0MiB allocated

Algorithm

1×	egg-herbie

Rules

608×	`lower-fma.f64`
608×	`lower-fma.f32`
358×	`unsub-neg`
346×	`distribute-rgt-in`
294×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	90
1	80	81
2	188	81
3	533	68
4	1125	64
5	1893	63
6	2270	63
7	2306	63
8	2310	63
9	2310	63
0	8	9
0	12	9
1	19	9
2	29	9
3	52	9
4	107	8
5	155	7
6	246	7
7	396	7
8	557	7
9	624	7
10	626	7
0	626	6

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Outputs
(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 x (-.f64 y z) z)

explain376.0ms (4.8%)

Memory

16.2MiB live, 133.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
8	-	-	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
0	-	-	`y`
0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`z`
0	-	-	`(*.f64 x y)`
0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) x) z)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`	nan-rescue	8	0
↳	`(*.f64 x y)`	overflow	36
↳	`(*.f64 (-.f64 #s(literal 1 binary64) x) z)`	overflow	39

Confusion

	Predicted +	Predicted -
+	8	0
-	0	248

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	8	0	0
-	0	0	248

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	248
1	8

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

134.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

ival-mult: 112.0ms (93.9% of total)

ival-sub: 4.0ms (3.4% of total)

ival-add: 2.0ms (1.7% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.9%	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify166.0ms (2.1%)

Memory

-9.3MiB live, 72.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	448	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Rules

608×	`lower-fma.f64`
608×	`lower-fma.f32`
240×	`lower-*.f32`
236×	`lower-*.f64`
152×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	246	22
7	396	22
8	557	22
9	624	22
10	626	22
0	626	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
(*.f64 x y)
x
y
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
z

Outputs
(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 x (-.f64 y z) z)
(*.f64 x y)
x
y
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(-.f64 z (*.f64 x z))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
z

localize23.0ms (0.3%)

Memory

-25.0MiB live, 52.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
✓	accuracy	97.0%	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Samples

14.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 3.0ms (49.2% of total)

ival-sub: 1.0ms (16.4% of total)

ival-add: 1.0ms (16.4% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))>
#<alt (*.f64 x y)>
#<alt (*.f64 (-.f64 #s(literal 1 binary64) x) z)>
#<alt (-.f64 #s(literal 1 binary64) x)>

Outputs
#<alt z>
#<alt (+ z (* x (+ y (* -1 z))))>
#<alt (+ z (* x (+ y (* -1 z))))>
#<alt (+ z (* x (+ y (* -1 z))))>
#<alt (* x (+ y (* -1 z)))>
#<alt (* x (+ y (+ (* -1 z) (/ z x))))>
#<alt (* x (+ y (+ (* -1 z) (/ z x))))>
#<alt (* x (+ y (+ (* -1 z) (/ z x))))>
#<alt (* -1 (* x (+ z (* -1 y))))>
#<alt (* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))>
#<alt (* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))>
#<alt (* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))>
#<alt (* z (- 1 x))>
#<alt (+ (* x y) (* z (- 1 x)))>
#<alt (+ (* x y) (* z (- 1 x)))>
#<alt (+ (* x y) (* z (- 1 x)))>
#<alt (* x y)>
#<alt (* y (+ x (/ (* z (- 1 x)) y)))>
#<alt (* y (+ x (/ (* z (- 1 x)) y)))>
#<alt (* y (+ x (/ (* z (- 1 x)) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (* z (- 1 x)))>
#<alt (+ (* x y) (* z (- 1 x)))>
#<alt (+ (* x y) (* z (- 1 x)))>
#<alt (* z (- 1 x))>
#<alt (* z (- (+ 1 (/ (* x y) z)) x))>
#<alt (* z (- (+ 1 (/ (* x y) z)) x))>
#<alt (* z (- (+ 1 (/ (* x y) z)) x))>
#<alt (* z (- 1 x))>
#<alt (* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt z>
#<alt (+ z (* -1 (* x z)))>
#<alt (+ z (* -1 (* x z)))>
#<alt (+ z (* -1 (* x z)))>
#<alt (* -1 (* x z))>
#<alt (* x (+ (* -1 z) (/ z x)))>
#<alt (* x (+ (* -1 z) (/ z x)))>
#<alt (* x (+ (* -1 z) (/ z x)))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x (+ z (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ z (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ z (* -1 (/ z x)))))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* x y)
1.0ms	x	@	inf	(+ (* x y) (* (- 1 x) z))
1.0ms	y	@	0	(+ (* x y) (* (- 1 x) z))
0.0ms	x	@	-inf	(+ (* x y) (* (- 1 x) z))
0.0ms	z	@	-inf	(+ (* x y) (* (- 1 x) z))

rewrite588.0ms (7.5%)

Memory

20.3MiB live, 648.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 772×	`lower-*.f32`
6 768×	`lower-*.f64`
6 392×	`lower-fma.f64`
6 392×	`lower-fma.f32`
3 490×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
0	12	20
1	44	20
2	314	20
3	3845	20
0	11265	19

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

4 → 317

Calls

Call 1

Inputs
(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
(*.f64 x y)
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(-.f64 #s(literal 1 binary64) x)

Outputs
(+.f64 (.f64 x y) (.f64 z (+.f64 x #s(literal 1 binary64))))
(+.f64 z (fma.f64 z (neg.f64 x) (*.f64 x y)))
(+.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 x y))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x y) (.f64 z (+.f64 x #s(literal 1 binary64))))) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (.f64 z (.f64 z (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x y) (.f64 z (+.f64 x #s(literal 1 binary64))))))))
(+.f64 (fma.f64 x y z) (*.f64 z (neg.f64 x)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (.f64 z (+.f64 x #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x y) (.f64 z (+.f64 x #s(literal 1 binary64))))) (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (.f64 z (.f64 z (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x y) (.f64 z (+.f64 x #s(literal 1 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 z (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 x y))) (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 x y))))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (.f64 #s(literal 1 binary64) y) (.f64 z (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (/.f64 (.f64 x (.f64 y y)) (-.f64 (.f64 x y) (.f64 z (+.f64 x #s(literal 1 binary64))))) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (.f64 z (.f64 z (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x y) (*.f64 z (+.f64 x #s(literal 1 binary64))))))))
(fma.f64 x (pow.f64 y #s(literal 1 binary64)) (*.f64 z (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (pow.f64 (.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (.f64 z (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (exp.f64 (log.f64 y)) (*.f64 z (+.f64 x #s(literal 1 binary64))))
(fma.f64 y x (*.f64 z (+.f64 x #s(literal 1 binary64))))
(fma.f64 y (/.f64 (.f64 x (.f64 x y)) (-.f64 (.f64 x y) (.f64 z (+.f64 x #s(literal 1 binary64))))) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (.f64 z (.f64 z (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x y) (*.f64 z (+.f64 x #s(literal 1 binary64))))))))
(fma.f64 (.f64 x y) #s(literal 1 binary64) (.f64 z (+.f64 x #s(literal 1 binary64))))
(fma.f64 (.f64 x y) (/.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z (+.f64 x #s(literal 1 binary64))))) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (.f64 z (.f64 z (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x y) (*.f64 z (+.f64 x #s(literal 1 binary64))))))))
(fma.f64 #s(literal 1 binary64) (.f64 x y) (.f64 z (+.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) z (fma.f64 z (neg.f64 x) (*.f64 x y)))
(fma.f64 z #s(literal 1 binary64) (fma.f64 z (neg.f64 x) (*.f64 x y)))
(fma.f64 z (+.f64 x #s(literal 1 binary64)) (*.f64 x y))
(fma.f64 (.f64 x (.f64 x (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (.f64 z (+.f64 x #s(literal 1 binary64))))) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (.f64 z (.f64 z (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x y) (.f64 z (+.f64 x #s(literal 1 binary64))))))))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) z) (*.f64 x y))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (.f64 x y))
(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 x y) (.f64 z (+.f64 x #s(literal 1 binary64))))) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (.f64 z (.f64 z (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x y) (*.f64 z (+.f64 x #s(literal 1 binary64))))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) z) (*.f64 x y))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 x y))
(fma.f64 (+.f64 x #s(literal 1 binary64)) z (*.f64 x y))
(fma.f64 (.f64 y y) (/.f64 (.f64 x x) (-.f64 (.f64 x y) (.f64 z (+.f64 x #s(literal 1 binary64))))) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (.f64 z (.f64 z (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x y) (*.f64 z (+.f64 x #s(literal 1 binary64))))))))
(fma.f64 (.f64 x (.f64 x y)) (/.f64 y (-.f64 (.f64 x y) (.f64 z (+.f64 x #s(literal 1 binary64))))) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (.f64 z (.f64 z (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x y) (*.f64 z (+.f64 x #s(literal 1 binary64))))))))
(fma.f64 (.f64 x (.f64 y y)) (/.f64 x (-.f64 (.f64 x y) (.f64 z (+.f64 x #s(literal 1 binary64))))) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (.f64 z (.f64 z (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x y) (*.f64 z (+.f64 x #s(literal 1 binary64))))))))
(fma.f64 (.f64 z (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 x y))
(fma.f64 (.f64 z (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 x y))
(fma.f64 (.f64 y #s(literal 1 binary64)) x (.f64 z (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 z (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 x #s(literal 1 binary64)) (.f64 x y))
(fma.f64 (/.f64 (.f64 z (-.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (.f64 x y))
(fma.f64 (/.f64 (.f64 z (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 x y))
(fma.f64 (/.f64 (.f64 z (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x x) (fma.f64 x x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) (.f64 x y))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (fma.f64 x y (.f64 z (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x y) (.f64 z (+.f64 x #s(literal 1 binary64)))))) (fma.f64 x y (.f64 z (+.f64 x #s(literal 1 binary64)))) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (.f64 z (.f64 z (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x y) (*.f64 z (+.f64 x #s(literal 1 binary64))))))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 z (+.f64 x #s(literal 1 binary64))))))) (fma.f64 x (.f64 x (.f64 y y)) (.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (fma.f64 x y (.f64 z (+.f64 x #s(literal 1 binary64)))))) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (.f64 z (.f64 z (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x y) (*.f64 z (+.f64 x #s(literal 1 binary64))))))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) z) #s(literal 1 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 1 binary64)) (.f64 x y))
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(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (.f64 x (.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (.f64 x (.f64 x x)))) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64)) (.f64 x (.f64 x x)))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64)) (.f64 x (.f64 x x)))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (.f64 x (.f64 x x)))) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (.f64 x (.f64 x x)))) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (.f64 x (.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x))) (+.f64 x #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 (.f64 x x)))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x))) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 x x))) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (.f64 x x)))) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x))) (.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (-.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 x x))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))) (.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (neg.f64 (.f64 x x)))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 x #s(literal 1 binary64))) (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal 1 binary64))) (.f64 x x))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (+.f64 x #s(literal 1 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (.f64 x x))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 x x))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (.f64 x x))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (fma.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 x x))) (.f64 (.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x x) (fma.f64 x x x))) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))) (.f64 x x))) (.f64 (.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))) (+.f64 x #s(literal 1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))

simplify236.0ms (3%)

Memory

-34.4MiB live, 344.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 472×	`lower-fma.f64`
7 472×	`lower-fma.f32`
2 438×	`lower-*.f64`
2 438×	`lower-*.f32`
1 490×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	471
1	192	442
2	558	442
3	1390	442
4	3891	442
5	6310	442
0	8026	415

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

Inputs
z
(+ z (* x (+ y (* -1 z))))
(+ z (* x (+ y (* -1 z))))
(+ z (* x (+ y (* -1 z))))
(* x (+ y (* -1 z)))
(* x (+ y (+ (* -1 z) (/ z x))))
(* x (+ y (+ (* -1 z) (/ z x))))
(* x (+ y (+ (* -1 z) (/ z x))))
(* -1 (* x (+ z (* -1 y))))
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(* z (- 1 x))
(+ (* x y) (* z (- 1 x)))
(+ (* x y) (* z (- 1 x)))
(+ (* x y) (* z (- 1 x)))
(* x y)
(* y (+ x (/ (* z (- 1 x)) y)))
(* y (+ x (/ (* z (- 1 x)) y)))
(* y (+ x (/ (* z (- 1 x)) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(* x y)
(+ (* x y) (* z (- 1 x)))
(+ (* x y) (* z (- 1 x)))
(+ (* x y) (* z (- 1 x)))
(* z (- 1 x))
(* z (- (+ 1 (/ (* x y) z)) x))
(* z (- (+ 1 (/ (* x y) z)) x))
(* z (- (+ 1 (/ (* x y) z)) x))
(* z (- 1 x))
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
z
(+ z (* -1 (* x z)))
(+ z (* -1 (* x z)))
(+ z (* -1 (* x z)))
(* -1 (* x z))
(* x (+ (* -1 z) (/ z x)))
(* x (+ (* -1 z) (/ z x)))
(* x (+ (* -1 z) (/ z x)))
(* -1 (* x z))
(* -1 (* x (+ z (* -1 (/ z x)))))
(* -1 (* x (+ z (* -1 (/ z x)))))
(* -1 (* x (+ z (* -1 (/ z x)))))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))

Outputs
z
(+ z (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 y z) z)
(+ z (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 y z) z)
(+ z (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 y z) z)
(* x (+ y (* -1 z)))
(*.f64 x (-.f64 y z))
(* x (+ y (+ (* -1 z) (/ z x))))
(fma.f64 x (-.f64 y z) z)
(* x (+ y (+ (* -1 z) (/ z x))))
(fma.f64 x (-.f64 y z) z)
(* x (+ y (+ (* -1 z) (/ z x))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* x (+ z (* -1 y))))
(*.f64 x (-.f64 y z))
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(fma.f64 x (-.f64 y z) z)
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(* y (+ x (/ (* z (- 1 x)) y)))
(fma.f64 x (-.f64 y z) z)
(* y (+ x (/ (* z (- 1 x)) y)))
(fma.f64 x (-.f64 y z) z)
(* y (+ x (/ (* z (- 1 x)) y)))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- (+ 1 (/ (* x y) z)) x))
(fma.f64 x (-.f64 y z) z)
(* z (- (+ 1 (/ (* x y) z)) x))
(fma.f64 x (-.f64 y z) z)
(* z (- (+ 1 (/ (* x y) z)) x))
(fma.f64 x (-.f64 y z) z)
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
z
(+ z (* -1 (* x z)))
(-.f64 z (*.f64 z x))
(+ z (* -1 (* x z)))
(-.f64 z (*.f64 z x))
(+ z (* -1 (* x z)))
(-.f64 z (*.f64 z x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* x (+ (* -1 z) (/ z x)))
(-.f64 z (*.f64 z x))
(* x (+ (* -1 z) (/ z x)))
(-.f64 z (*.f64 z x))
(* x (+ (* -1 z) (/ z x)))
(-.f64 z (*.f64 z x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x (+ z (* -1 (/ z x)))))
(-.f64 z (*.f64 z x))
(* -1 (* x (+ z (* -1 (/ z x)))))
(-.f64 z (*.f64 z x))
(* -1 (* x (+ z (* -1 (/ z x)))))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)

eval85.0ms (1.1%)

Memory: 29.6MiB live, 66.3MiB allocated
Compiler: Compiled 11 201 to 1 111 computations (90.1% saved)

prune52.0ms (0.7%)

Memory

-9.6MiB live, 109.6MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	406	5	411
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	407	5	412

Accuracy

100.0%

Counts

412 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x (-.f64 y z) z)
▶	64.7%	(-.f64 z (*.f64 z x))
▶	63.9%	(+.f64 (.f64 x y) (.f64 (neg.f64 x) z))
▶	67.0%	(*.f64 x (-.f64 y z))
▶	40.5%	(*.f64 x y)

Compiler

Compiled 84 to 52 computations (38.1% saved)

simplify30.0ms (0.4%)

Memory

10.8MiB live, 49.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(*.f64 (neg.f64 x) z)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	448	(+.f64 (.f64 x y) (.f64 (neg.f64 x) z))
✓	cost-diff	0	(*.f64 z x)
✓	cost-diff	0	(-.f64 z (*.f64 z x))
✓	cost-diff	0	(-.f64 y z)
✓	cost-diff	0	(*.f64 x (-.f64 y z))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(-.f64 y z)
✓	cost-diff	0	(fma.f64 x (-.f64 y z) z)

Rules

608×	`lower-fma.f32`
606×	`lower-fma.f64`
240×	`lower-*.f32`
232×	`lower-*.f64`
152×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	58
0	21	55
1	39	55
2	54	55
3	93	55
4	158	55
5	272	55
6	467	55
7	577	55
8	625	55
9	625	55
0	625	55

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 x (-.f64 y z) z)
x
(-.f64 y z)
y
z
(*.f64 x y)
x
y
(*.f64 x (-.f64 y z))
x
(-.f64 y z)
y
z
(-.f64 z (*.f64 z x))
z
(*.f64 z x)
x
(+.f64 (.f64 x y) (.f64 (neg.f64 x) z))
(*.f64 x y)
x
y
(*.f64 (neg.f64 x) z)
(neg.f64 x)
z

Outputs
(fma.f64 x (-.f64 y z) z)
x
(-.f64 y z)
y
z
(*.f64 x y)
x
y
(*.f64 x (-.f64 y z))
x
(-.f64 y z)
y
z
(-.f64 z (*.f64 z x))
(-.f64 z (*.f64 x z))
z
(*.f64 z x)
(*.f64 x z)
x
(+.f64 (.f64 x y) (.f64 (neg.f64 x) z))
(*.f64 x (-.f64 y z))
(*.f64 x y)
x
y
(*.f64 (neg.f64 x) z)
(*.f64 x (neg.f64 z))
(neg.f64 x)
z

localize43.0ms (0.5%)

Memory

-30.1MiB live, 88.3MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (neg.f64 x) z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	97.0%	(+.f64 (.f64 x y) (.f64 (neg.f64 x) z))
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	100.0%	(-.f64 z (*.f64 z x))
✓	accuracy	100.0%	(-.f64 y z)
✓	accuracy	100.0%	(*.f64 x (-.f64 y z))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 y z)
✓	accuracy	100.0%	(fma.f64 x (-.f64 y z) z)

Samples

24.0ms

256×

valid

Compiler

Compiled 61 to 14 computations (77% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 6.0ms (49.5% of total)

ival-sub: 3.0ms (24.7% of total)

ival-add: 2.0ms (16.5% of total)

ival-neg: 1.0ms (8.2% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory

32.2MiB live, 32.2MiB allocated

Counts

9 → 240

Calls

Call 1

Inputs
#<alt (fma.f64 x (-.f64 y z) z)>
#<alt (-.f64 y z)>
#<alt (*.f64 x y)>
#<alt (*.f64 x (-.f64 y z))>
#<alt (-.f64 z (*.f64 z x))>
#<alt (*.f64 z x)>
#<alt (+.f64 (.f64 x y) (.f64 (neg.f64 x) z))>
#<alt (*.f64 (neg.f64 x) z)>
#<alt (neg.f64 x)>

Outputs
#<alt z>
#<alt (+ z (* x (- y z)))>
#<alt (+ z (* x (- y z)))>
#<alt (+ z (* x (- y z)))>
#<alt (* x (- y z))>
#<alt (* x (- (+ y (/ z x)) z))>
#<alt (* x (- (+ y (/ z x)) z))>
#<alt (* x (- (+ y (/ z x)) z))>
#<alt (* x (- y z))>
#<alt (* -1 (* x (+ (* -1 (- y z)) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 (- y z)) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 (- y z)) (* -1 (/ z x)))))>
#<alt (+ z (* -1 (* x z)))>
#<alt (+ z (+ (* -1 (* x z)) (* x y)))>
#<alt (+ z (+ (* -1 (* x z)) (* x y)))>
#<alt (+ z (+ (* -1 (* x z)) (* x y)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* -1 (/ (* x z) y)) (/ z y))))>
#<alt (* y (+ x (+ (* -1 (/ (* x z) y)) (/ z y))))>
#<alt (* y (+ x (+ (* -1 (/ (* x z) y)) (/ z y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* -1 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* -1 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* -1 (* x z))) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (* z (+ 1 (* -1 x))))>
#<alt (+ (* x y) (* z (+ 1 (* -1 x))))>
#<alt (+ (* x y) (* z (+ 1 (* -1 x))))>
#<alt (* z (+ 1 (* -1 x)))>
#<alt (* z (+ 1 (+ (* -1 x) (/ (* x y) z))))>
#<alt (* z (+ 1 (+ (* -1 x) (/ (* x y) z))))>
#<alt (* z (+ 1 (+ (* -1 x) (/ (* x y) z))))>
#<alt (* -1 (* z (- x 1)))>
#<alt (* -1 (* z (- (+ x (* -1 (/ (* x y) z))) 1)))>
#<alt (* -1 (* z (- (+ x (* -1 (/ (* x y) z))) 1)))>
#<alt (* -1 (* z (- (+ x (* -1 (/ (* x y) z))) 1)))>
#<alt (* -1 z)>
#<alt (- y z)>
#<alt (- y z)>
#<alt (- y z)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt y>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt y>
#<alt (+ y (* -1 z))>
#<alt (+ y (* -1 z))>
#<alt (+ y (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ y z) 1))>
#<alt (* z (- (/ y z) 1))>
#<alt (* z (- (/ y z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* -1 (* x z))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ (* x z) y))))>
#<alt (* y (+ x (* -1 (/ (* x z) y))))>
#<alt (* y (+ x (* -1 (/ (* x z) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ (* x z) y))))>
#<alt (* x y)>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (* -1 (* x z))>
#<alt (* z (+ (* -1 x) (/ (* x y) z)))>
#<alt (* z (+ (* -1 x) (/ (* x y) z)))>
#<alt (* z (+ (* -1 x) (/ (* x y) z)))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* z (+ x (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ (* x y) z)))))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (+ 1 (* -1 x)))>
#<alt (* z (+ 1 (* -1 x)))>
#<alt (* z (+ 1 (* -1 x)))>
#<alt (* z (+ 1 (* -1 x)))>
#<alt z>
#<alt (+ z (* -1 (* x z)))>
#<alt (+ z (* -1 (* x z)))>
#<alt (+ z (* -1 (* x z)))>
#<alt (* -1 (* x z))>
#<alt (* x (- (/ z x) z))>
#<alt (* x (- (/ z x) z))>
#<alt (* x (- (/ z x) z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x (- (* -1 (/ z x)) (* -1 z))))>
#<alt (* -1 (* x (- (* -1 (/ z x)) (* -1 z))))>
#<alt (* -1 (* x (- (* -1 (/ z x)) (* -1 z))))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x (+ y (* -1 z)))>
#<alt (* x (+ y (* -1 z)))>
#<alt (* x (+ y (* -1 z)))>
#<alt (* x (+ y (* -1 z)))>
#<alt (* x (+ y (* -1 z)))>
#<alt (* x (+ y (* -1 z)))>
#<alt (* x (+ y (* -1 z)))>
#<alt (* x (+ y (* -1 z)))>
#<alt (* -1 (* x (+ z (* -1 y))))>
#<alt (* -1 (* x (+ z (* -1 y))))>
#<alt (* -1 (* x (+ z (* -1 y))))>
#<alt (* -1 (* x (+ z (* -1 y))))>
#<alt (* -1 (* x z))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ (* x z) y))))>
#<alt (* y (+ x (* -1 (/ (* x z) y))))>
#<alt (* y (+ x (* -1 (/ (* x z) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ (* x z) y))))>
#<alt (* x y)>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (* -1 (* x z))>
#<alt (* z (+ (* -1 x) (/ (* x y) z)))>
#<alt (* z (+ (* -1 x) (/ (* x y) z)))>
#<alt (* z (+ (* -1 x) (/ (* x y) z)))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* z (+ x (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>

Calls

60 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	(- z (* z x))
1.0ms	x	@	inf	(+ (* x y) (* (neg x) z))
0.0ms	x	@	0	(+ (* x y) (* (neg x) z))
0.0ms	z	@	-inf	(- z (* z x))
0.0ms	y	@	-inf	(+ (* x (- y z)) z)

rewrite344.0ms (4.4%)

Memory

-29.8MiB live, 485.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 314×	`lower-fma.f32`
9 312×	`lower-fma.f64`
5 576×	`lower-*.f32`
5 568×	`lower-*.f64`
3 334×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
0	21	36
1	84	36
2	618	36
0	8335	36

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

9 → 529

Calls

Call 1

Inputs
(fma.f64 x (-.f64 y z) z)
(-.f64 y z)
(*.f64 x y)
(*.f64 x (-.f64 y z))
(-.f64 z (*.f64 z x))
(*.f64 z x)
(+.f64 (.f64 x y) (.f64 (neg.f64 x) z))
(*.f64 (neg.f64 x) z)
(neg.f64 x)

Outputs
(+.f64 z (*.f64 x (-.f64 y z)))
(+.f64 (.f64 x y) (-.f64 z (.f64 x z)))
(+.f64 (*.f64 x (-.f64 y z)) z)
(+.f64 (-.f64 z (.f64 x z)) (.f64 x y))
(+.f64 (*.f64 x (neg.f64 z)) (fma.f64 x y z))
(+.f64 (/.f64 (.f64 (-.f64 y z) (.f64 x (.f64 x (-.f64 y z)))) (-.f64 (.f64 x (-.f64 y z)) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x (-.f64 y z)) z))))
(+.f64 (+.f64 z (.f64 x y)) (.f64 x (neg.f64 z)))
(-.f64 (.f64 x y) (-.f64 (.f64 x z) z))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (+.f64 y z))) (-.f64 (.f64 (.f64 x z) (/.f64 (.f64 x z) (.f64 x (+.f64 y z)))) z))
(-.f64 (/.f64 (.f64 (-.f64 y z) (.f64 x (.f64 x (-.f64 y z)))) (-.f64 (.f64 x (-.f64 y z)) z)) (/.f64 (.f64 z z) (-.f64 (.f64 x (-.f64 y z)) z)))
(-.f64 (/.f64 (.f64 z z) (-.f64 z (.f64 x (-.f64 y z)))) (/.f64 (.f64 (-.f64 y z) (.f64 x (.f64 x (-.f64 y z)))) (-.f64 z (.f64 x (-.f64 y z)))))
(-.f64 (+.f64 z (.f64 x y)) (.f64 x z))
(-.f64 (+.f64 z (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (+.f64 y z)))) (.f64 (.f64 x z) (/.f64 (.f64 x z) (.f64 x (+.f64 y z)))))
(fma.f64 x y (-.f64 z (*.f64 x z)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (neg.f64 z) (fma.f64 x y z))
(fma.f64 x (/.f64 (.f64 (-.f64 y z) (.f64 x (-.f64 y z))) (-.f64 (.f64 x (-.f64 y z)) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (*.f64 x (-.f64 y z)) z))))
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(/.f64 (.f64 (.f64 (.f64 (.f64 x (-.f64 y z)) (fma.f64 (.f64 x y) (.f64 x (+.f64 y z)) (.f64 x (.f64 x (.f64 z z))))) (.f64 (.f64 x (-.f64 y z)) (fma.f64 (.f64 x y) (.f64 x (+.f64 y z)) (.f64 x (.f64 x (.f64 z z)))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 y z)))) (fma.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 (.f64 x x) (fma.f64 y y (.f64 z z))) (.f64 (.f64 x y) (.f64 (.f64 (.f64 x (.f64 x (.f64 y y))) x) y))))
(/.f64 (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 y y (.f64 z z))) (.f64 (.f64 x (-.f64 y z)) (.f64 x (+.f64 y z)))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 y z)))) (.f64 (.f64 x x) (fma.f64 y y (.f64 z z))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y z))) #s(literal -1 binary64))
(*.f64 x (-.f64 y z))
(*.f64 (-.f64 y z) x)
(.f64 (.f64 x (-.f64 y z)) (.f64 (.f64 x (+.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y z)))))
(.f64 (.f64 x (-.f64 y z)) (/.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))))
(.f64 (.f64 (.f64 x (-.f64 y z)) (fma.f64 (.f64 x y) (.f64 x (+.f64 y z)) (.f64 x (.f64 x (.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (.f64 x (+.f64 y z)) (.f64 x (.f64 x (*.f64 z z))))))
(.f64 (fma.f64 (.f64 x y) (.f64 x (+.f64 y z)) (.f64 x (.f64 x (.f64 z z)))) (.f64 (.f64 x (-.f64 y z)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (.f64 x (+.f64 y z)) (.f64 x (.f64 x (*.f64 z z)))))))
(.f64 (fma.f64 (.f64 x y) (.f64 x (+.f64 y z)) (.f64 x (.f64 x (.f64 z z)))) (/.f64 (.f64 x (-.f64 y z)) (fma.f64 (.f64 x y) (.f64 x (+.f64 y z)) (.f64 x (.f64 x (.f64 z z))))))
(.f64 (.f64 (-.f64 y z) (fma.f64 y y (.f64 z (+.f64 y z)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 z (+.f64 y z)))) x))
(.f64 (.f64 (-.f64 y z) (fma.f64 y y (.f64 z (+.f64 y z)))) (/.f64 x (fma.f64 y y (.f64 z (+.f64 y z)))))
(.f64 (.f64 (.f64 x (-.f64 y z)) (.f64 x (+.f64 y z))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y z))))
(.f64 (.f64 (-.f64 y z) (+.f64 y z)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) x))
(.f64 (.f64 (-.f64 y z) (+.f64 y z)) (/.f64 x (+.f64 y z)))
(.f64 (neg.f64 (.f64 (.f64 x (-.f64 y z)) (fma.f64 (.f64 x y) (.f64 x (+.f64 y z)) (.f64 x (.f64 x (.f64 z z)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x y) (.f64 x (+.f64 y z)) (.f64 x (.f64 x (*.f64 z z)))))))
(.f64 (.f64 (.f64 x (-.f64 y z)) (.f64 x (-.f64 (neg.f64 z) y))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (neg.f64 z) y))))
(.f64 #s(literal 1 binary64) (.f64 x (-.f64 y z)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (.f64 x (+.f64 y z)) (.f64 x (.f64 x (.f64 z z))))) (.f64 (.f64 x (-.f64 y z)) (fma.f64 (.f64 x y) (.f64 x (+.f64 y z)) (.f64 x (.f64 x (*.f64 z z))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 y z))) (.f64 (.f64 x (-.f64 y z)) (*.f64 x (+.f64 y z))))
(.f64 (.f64 (fma.f64 y y (.f64 z (+.f64 y z))) (.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 z (+.f64 y z)))))
(.f64 (.f64 (*.f64 x (+.f64 y z)) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(.f64 (/.f64 (.f64 (.f64 x (-.f64 y z)) (.f64 x (+.f64 y z))) (.f64 (.f64 x (-.f64 y z)) (fma.f64 (.f64 x y) (.f64 x (+.f64 y z)) (.f64 x (.f64 x (.f64 z z)))))) (fma.f64 (neg.f64 x) (.f64 z (.f64 x (-.f64 y z))) (.f64 x (.f64 x (.f64 y y)))))
(.f64 (/.f64 (.f64 (.f64 x (-.f64 y z)) (.f64 x (+.f64 y z))) (.f64 (.f64 x (-.f64 y z)) (.f64 x (+.f64 y z)))) (.f64 x (-.f64 y z)))
(.f64 (/.f64 (.f64 (.f64 x (-.f64 y z)) (fma.f64 (.f64 x y) (.f64 x (+.f64 y z)) (.f64 x (.f64 x (.f64 z z))))) (fma.f64 (.f64 (.f64 x (neg.f64 z)) (.f64 x (-.f64 (neg.f64 z) y))) (.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 (.f64 x (-.f64 (neg.f64 z) y)) (.f64 x (-.f64 (neg.f64 z) y)))) (.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 y y))) x) y) (.f64 (.f64 (.f64 x (.f64 x (.f64 y y))) x) y)))) (fma.f64 (.f64 (.f64 x (neg.f64 z)) (.f64 x (-.f64 (neg.f64 z) y))) (-.f64 (.f64 (.f64 x (neg.f64 z)) (.f64 x (-.f64 (neg.f64 z) y))) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x y) (.f64 (.f64 (.f64 x (.f64 x (*.f64 y y))) x) y))))
(.f64 (/.f64 (.f64 (.f64 x (-.f64 y z)) (fma.f64 (.f64 x y) (.f64 x (+.f64 y z)) (.f64 x (.f64 x (.f64 z z))))) (.f64 (fma.f64 (.f64 x y) (.f64 x (+.f64 y z)) (.f64 x (.f64 x (.f64 z z)))) (fma.f64 x (.f64 x (.f64 y y)) (.f64 (.f64 x z) (.f64 x (-.f64 (neg.f64 z) y)))))) (fma.f64 x (.f64 x (.f64 y y)) (.f64 (.f64 x z) (.f64 x (-.f64 (neg.f64 z) y)))))
(.f64 (/.f64 (.f64 (fma.f64 y y (.f64 z (+.f64 y z))) (.f64 x (-.f64 y z))) (fma.f64 (.f64 z (+.f64 y z)) (.f64 (.f64 z z) (.f64 (+.f64 y z) (+.f64 y z))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (fma.f64 (.f64 z (+.f64 y z)) (-.f64 (.f64 z (+.f64 y z)) (.f64 y y)) (.f64 (.f64 y y) (*.f64 y y))))
(.f64 (/.f64 (.f64 (fma.f64 y y (.f64 z (+.f64 y z))) (.f64 x (-.f64 y z))) (.f64 (fma.f64 y y (.f64 z (+.f64 y z))) (-.f64 (.f64 y y) (.f64 z (+.f64 y z))))) (-.f64 (.f64 y y) (.f64 z (+.f64 y z))))
(.f64 (/.f64 (.f64 (.f64 x (+.f64 y z)) (-.f64 y z)) (.f64 (-.f64 y z) (+.f64 y z))) (-.f64 y z))
(.f64 (/.f64 (.f64 (.f64 x (+.f64 y z)) (-.f64 y z)) (fma.f64 y (.f64 y y) (.f64 z (.f64 z z)))) (fma.f64 y y (*.f64 z (-.f64 z y))))
(+.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 z)))
(+.f64 (.f64 #s(literal 0 binary64) z) (.f64 x (neg.f64 z)))
(+.f64 (.f64 z #s(literal 0 binary64)) (.f64 x (neg.f64 z)))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(fma.f64 z #s(literal 0 binary64) (*.f64 x (neg.f64 z)))
(fma.f64 #s(literal 0 binary64) z (*.f64 x (neg.f64 z)))
(neg.f64 (*.f64 x z))
(/.f64 (.f64 (.f64 x z) (.f64 x (.f64 x (.f64 z z)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 z z)) (.f64 #s(literal 0 binary64) (*.f64 x z)))))
(/.f64 (.f64 x (.f64 z (.f64 x (neg.f64 z)))) (+.f64 #s(literal 0 binary64) (.f64 x z)))
(/.f64 (.f64 (neg.f64 (.f64 x (.f64 x x))) z) (.f64 x x))
(/.f64 (.f64 z (neg.f64 (.f64 x (.f64 x x)))) (.f64 x x))
(/.f64 (.f64 z (neg.f64 (.f64 x x))) x)
(/.f64 (.f64 (neg.f64 (.f64 x x)) z) x)
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(.f64 (.f64 x z) #s(literal -1 binary64))
(*.f64 (neg.f64 x) z)
(*.f64 (neg.f64 z) x)
(.f64 #s(literal -1 binary64) (.f64 x z))
(+.f64 (neg.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(neg.f64 x)
(/.f64 (neg.f64 (.f64 x (.f64 x x))) (*.f64 x x))
(/.f64 (neg.f64 (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (neg.f64 (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 x x)) x)
(/.f64 (neg.f64 (neg.f64 (.f64 x (.f64 x x)))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 x))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal 1 binary64) x))

simplify423.0ms (5.4%)

Memory

29.8MiB live, 259.0MiB allocated

Algorithm

1×	egg-herbie

Rules

5 944×	`lower-fma.f64`
5 944×	`lower-fma.f32`
2 248×	`lower-*.f64`
2 248×	`lower-*.f32`
1 538×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	1031
1	285	1007
2	800	1007
3	2430	1007
4	5188	1007
5	6753	1007
6	7818	1007
0	8286	980

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 235

Calls

Call 1

Inputs
z
(+ z (* x (- y z)))
(+ z (* x (- y z)))
(+ z (* x (- y z)))
(* x (- y z))
(* x (- (+ y (/ z x)) z))
(* x (- (+ y (/ z x)) z))
(* x (- (+ y (/ z x)) z))
(* x (- y z))
(* -1 (* x (+ (* -1 (- y z)) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 (- y z)) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 (- y z)) (* -1 (/ z x)))))
(+ z (* -1 (* x z)))
(+ z (+ (* -1 (* x z)) (* x y)))
(+ z (+ (* -1 (* x z)) (* x y)))
(+ z (+ (* -1 (* x z)) (* x y)))
(* x y)
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ z y))))
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ z y))))
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ z y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* -1 (* x z))) y)))))
(* x y)
(+ (* x y) (* z (+ 1 (* -1 x))))
(+ (* x y) (* z (+ 1 (* -1 x))))
(+ (* x y) (* z (+ 1 (* -1 x))))
(* z (+ 1 (* -1 x)))
(* z (+ 1 (+ (* -1 x) (/ (* x y) z))))
(* z (+ 1 (+ (* -1 x) (/ (* x y) z))))
(* z (+ 1 (+ (* -1 x) (/ (* x y) z))))
(* -1 (* z (- x 1)))
(* -1 (* z (- (+ x (* -1 (/ (* x y) z))) 1)))
(* -1 (* z (- (+ x (* -1 (/ (* x y) z))) 1)))
(* -1 (* z (- (+ x (* -1 (/ (* x y) z))) 1)))
(* -1 z)
(- y z)
(- y z)
(- y z)
y
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
y
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
y
(+ y (* -1 z))
(+ y (* -1 z))
(+ y (* -1 z))
(* -1 z)
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* -1 (* x z))
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(* x y)
(* y (+ x (* -1 (/ (* x z) y))))
(* y (+ x (* -1 (/ (* x z) y))))
(* y (+ x (* -1 (/ (* x z) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(* x y)
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(* -1 (* x z))
(* z (+ (* -1 x) (/ (* x y) z)))
(* z (+ (* -1 x) (/ (* x y) z)))
(* z (+ (* -1 x) (/ (* x y) z)))
(* -1 (* x z))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (+ 1 (* -1 x)))
(* z (+ 1 (* -1 x)))
(* z (+ 1 (* -1 x)))
(* z (+ 1 (* -1 x)))
z
(+ z (* -1 (* x z)))
(+ z (* -1 (* x z)))
(+ z (* -1 (* x z)))
(* -1 (* x z))
(* x (- (/ z x) z))
(* x (- (/ z x) z))
(* x (- (/ z x) z))
(* -1 (* x z))
(* -1 (* x (- (* -1 (/ z x)) (* -1 z))))
(* -1 (* x (- (* -1 (/ z x)) (* -1 z))))
(* -1 (* x (- (* -1 (/ z x)) (* -1 z))))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x (+ y (* -1 z)))
(* x (+ y (* -1 z)))
(* x (+ y (* -1 z)))
(* x (+ y (* -1 z)))
(* x (+ y (* -1 z)))
(* x (+ y (* -1 z)))
(* x (+ y (* -1 z)))
(* x (+ y (* -1 z)))
(* -1 (* x (+ z (* -1 y))))
(* -1 (* x (+ z (* -1 y))))
(* -1 (* x (+ z (* -1 y))))
(* -1 (* x (+ z (* -1 y))))
(* -1 (* x z))
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(* x y)
(* y (+ x (* -1 (/ (* x z) y))))
(* y (+ x (* -1 (/ (* x z) y))))
(* y (+ x (* -1 (/ (* x z) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(* x y)
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(* -1 (* x z))
(* z (+ (* -1 x) (/ (* x y) z)))
(* z (+ (* -1 x) (/ (* x y) z)))
(* z (+ (* -1 x) (/ (* x y) z)))
(* -1 (* x z))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)

Outputs
z
(+ z (* x (- y z)))
(fma.f64 x (-.f64 y z) z)
(+ z (* x (- y z)))
(fma.f64 x (-.f64 y z) z)
(+ z (* x (- y z)))
(fma.f64 x (-.f64 y z) z)
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- (+ y (/ z x)) z))
(fma.f64 x (-.f64 y z) z)
(* x (- (+ y (/ z x)) z))
(fma.f64 x (-.f64 y z) z)
(* x (- (+ y (/ z x)) z))
(fma.f64 x (-.f64 y z) z)
(* x (- y z))
(*.f64 x (-.f64 y z))
(* -1 (* x (+ (* -1 (- y z)) (* -1 (/ z x)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* x (+ (* -1 (- y z)) (* -1 (/ z x)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* x (+ (* -1 (- y z)) (* -1 (/ z x)))))
(fma.f64 x (-.f64 y z) z)
(+ z (* -1 (* x z)))
(-.f64 z (*.f64 z x))
(+ z (+ (* -1 (* x z)) (* x y)))
(fma.f64 x (-.f64 y z) z)
(+ z (+ (* -1 (* x z)) (* x y)))
(fma.f64 x (-.f64 y z) z)
(+ z (+ (* -1 (* x z)) (* x y)))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ z y))))
(fma.f64 x (-.f64 y z) z)
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ z y))))
(fma.f64 x (-.f64 y z) z)
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ z y))))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* -1 (* x z))) y)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* -1 (* x z))) y)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* -1 (* x z))) y)))))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(+ (* x y) (* z (+ 1 (* -1 x))))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (+ 1 (* -1 x))))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (+ 1 (* -1 x))))
(fma.f64 x (-.f64 y z) z)
(* z (+ 1 (* -1 x)))
(-.f64 z (*.f64 z x))
(* z (+ 1 (+ (* -1 x) (/ (* x y) z))))
(fma.f64 x (-.f64 y z) z)
(* z (+ 1 (+ (* -1 x) (/ (* x y) z))))
(fma.f64 x (-.f64 y z) z)
(* z (+ 1 (+ (* -1 x) (/ (* x y) z))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* z (- x 1)))
(-.f64 z (*.f64 z x))
(* -1 (* z (- (+ x (* -1 (/ (* x y) z))) 1)))
(fma.f64 x (-.f64 y z) z)
(* -1 (* z (- (+ x (* -1 (/ (* x y) z))) 1)))
(fma.f64 x (-.f64 y z) z)
(* -1 (* z (- (+ x (* -1 (/ (* x y) z))) 1)))
(fma.f64 x (-.f64 y z) z)
(* -1 z)
(neg.f64 z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
y
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
y
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
y
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(* -1 z)
(neg.f64 z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* y (+ x (* -1 (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* y (+ x (* -1 (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* x y)
(*.f64 x y)
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* z (+ (* -1 x) (/ (* x y) z)))
(*.f64 x (-.f64 y z))
(* z (+ (* -1 x) (/ (* x y) z)))
(*.f64 x (-.f64 y z))
(* z (+ (* -1 x) (/ (* x y) z)))
(*.f64 x (-.f64 y z))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(*.f64 x (-.f64 y z))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(*.f64 x (-.f64 y z))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(*.f64 x (-.f64 y z))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (+ 1 (* -1 x)))
(-.f64 z (*.f64 z x))
(* z (+ 1 (* -1 x)))
(-.f64 z (*.f64 z x))
(* z (+ 1 (* -1 x)))
(-.f64 z (*.f64 z x))
(* z (+ 1 (* -1 x)))
(-.f64 z (*.f64 z x))
z
(+ z (* -1 (* x z)))
(-.f64 z (*.f64 z x))
(+ z (* -1 (* x z)))
(-.f64 z (*.f64 z x))
(+ z (* -1 (* x z)))
(-.f64 z (*.f64 z x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* x (- (/ z x) z))
(-.f64 z (*.f64 z x))
(* x (- (/ z x) z))
(-.f64 z (*.f64 z x))
(* x (- (/ z x) z))
(-.f64 z (*.f64 z x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x (- (* -1 (/ z x)) (* -1 z))))
(-.f64 z (*.f64 z x))
(* -1 (* x (- (* -1 (/ z x)) (* -1 z))))
(-.f64 z (*.f64 z x))
(* -1 (* x (- (* -1 (/ z x)) (* -1 z))))
(-.f64 z (*.f64 z x))
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x (+ y (* -1 z)))
(*.f64 x (-.f64 y z))
(* x (+ y (* -1 z)))
(*.f64 x (-.f64 y z))
(* x (+ y (* -1 z)))
(*.f64 x (-.f64 y z))
(* x (+ y (* -1 z)))
(*.f64 x (-.f64 y z))
(* x (+ y (* -1 z)))
(*.f64 x (-.f64 y z))
(* x (+ y (* -1 z)))
(*.f64 x (-.f64 y z))
(* x (+ y (* -1 z)))
(*.f64 x (-.f64 y z))
(* x (+ y (* -1 z)))
(*.f64 x (-.f64 y z))
(* -1 (* x (+ z (* -1 y))))
(*.f64 x (-.f64 y z))
(* -1 (* x (+ z (* -1 y))))
(*.f64 x (-.f64 y z))
(* -1 (* x (+ z (* -1 y))))
(*.f64 x (-.f64 y z))
(* -1 (* x (+ z (* -1 y))))
(*.f64 x (-.f64 y z))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* y (+ x (* -1 (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* y (+ x (* -1 (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* x y)
(*.f64 x y)
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* z (+ (* -1 x) (/ (* x y) z)))
(*.f64 x (-.f64 y z))
(* z (+ (* -1 x) (/ (* x y) z)))
(*.f64 x (-.f64 y z))
(* z (+ (* -1 x) (/ (* x y) z)))
(*.f64 x (-.f64 y z))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(*.f64 x (-.f64 y z))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(*.f64 x (-.f64 y z))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(*.f64 x (-.f64 y z))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

eval134.0ms (1.7%)

Memory: 6.5MiB live, 213.7MiB allocated
Compiler: Compiled 20 547 to 1 202 computations (94.1% saved)

prune76.0ms (1%)

Memory

-13.0MiB live, 183.0MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	884	3	887
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	886	6	892

Accuracy

100.0%

Counts

892 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.7%	(fma.f64 (neg.f64 z) x (*.f64 x y))
▶	64.7%	(fma.f64 (neg.f64 z) x z)
✓	100.0%	(fma.f64 x (-.f64 y z) z)
▶	31.9%	(*.f64 z (neg.f64 x))
✓	67.0%	(*.f64 x (-.f64 y z))
✓	40.5%	(*.f64 x y)

Compiler

Compiled 48 to 30 computations (37.5% saved)

simplify156.0ms (2%)

Memory

-15.1MiB live, 23.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	320	(fma.f64 (neg.f64 z) x (*.f64 x y))
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(fma.f64 (neg.f64 z) x z)
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(*.f64 z (neg.f64 x))

Rules

368×	`lower-fma.f32`
364×	`lower-fma.f64`
208×	`lower-*.f32`
204×	`lower-*.f64`
104×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	32
0	16	32
1	29	31
2	49	30
3	84	30
4	132	30
5	216	30
6	370	30
7	454	30
8	475	30
0	475	30

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 z (neg.f64 x))
z
(neg.f64 x)
x
(fma.f64 (neg.f64 z) x z)
(neg.f64 z)
z
x
(fma.f64 (neg.f64 z) x (*.f64 x y))
(neg.f64 z)
z
x
(*.f64 x y)
y

Outputs
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
z
(neg.f64 x)
x
(fma.f64 (neg.f64 z) x z)
(-.f64 z (*.f64 z x))
(neg.f64 z)
z
x
(fma.f64 (neg.f64 z) x (*.f64 x y))
(*.f64 x (-.f64 y z))
(neg.f64 z)
z
x
(*.f64 x y)
y

localize27.0ms (0.3%)

Memory

16.7MiB live, 16.7MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	97.6%	(fma.f64 (neg.f64 z) x (*.f64 x y))
✓	accuracy	100.0%	(fma.f64 (neg.f64 z) x z)
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(*.f64 z (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)

Samples

18.0ms

256×

valid

Compiler

Compiled 36 to 12 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 5.0ms (55.4% of total)

ival-add: 2.0ms (22.2% of total)

ival-neg: 2.0ms (22.2% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

6 → 132

Calls

Call 1

Inputs
#<alt (*.f64 z (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (fma.f64 (neg.f64 z) x z)>
#<alt (neg.f64 z)>
#<alt (fma.f64 (neg.f64 z) x (*.f64 x y))>
#<alt (*.f64 x y)>

Outputs
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* z (+ 1 (* -1 x)))>
#<alt (* z (+ 1 (* -1 x)))>
#<alt (* z (+ 1 (* -1 x)))>
#<alt (* z (+ 1 (* -1 x)))>
#<alt (* z (+ 1 (* -1 x)))>
#<alt (* z (+ 1 (* -1 x)))>
#<alt (* z (+ 1 (* -1 x)))>
#<alt (* z (+ 1 (* -1 x)))>
#<alt (* -1 (* z (- x 1)))>
#<alt (* -1 (* z (- x 1)))>
#<alt (* -1 (* z (- x 1)))>
#<alt (* -1 (* z (- x 1)))>
#<alt z>
#<alt (+ z (* -1 (* x z)))>
#<alt (+ z (* -1 (* x z)))>
#<alt (+ z (* -1 (* x z)))>
#<alt (* -1 (* x z))>
#<alt (* x (+ (* -1 z) (/ z x)))>
#<alt (* x (+ (* -1 z) (/ z x)))>
#<alt (* x (+ (* -1 z) (/ z x)))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x (+ z (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ z (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ z (* -1 (/ z x)))))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* x y)>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (* -1 (* x z))>
#<alt (* z (+ (* -1 x) (/ (* x y) z)))>
#<alt (* z (+ (* -1 x) (/ (* x y) z)))>
#<alt (* z (+ (* -1 x) (/ (* x y) z)))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* z (+ x (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ (* x y) z)))))>
#<alt (* x (+ y (* -1 z)))>
#<alt (* x (+ y (* -1 z)))>
#<alt (* x (+ y (* -1 z)))>
#<alt (* x (+ y (* -1 z)))>
#<alt (* x (+ y (* -1 z)))>
#<alt (* x (+ y (* -1 z)))>
#<alt (* x (+ y (* -1 z)))>
#<alt (* x (+ y (* -1 z)))>
#<alt (* -1 (* x (+ z (* -1 y))))>
#<alt (* -1 (* x (+ z (* -1 y))))>
#<alt (* -1 (* x (+ z (* -1 y))))>
#<alt (* -1 (* x (+ z (* -1 y))))>
#<alt (* -1 (* x z))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ (* x z) y))))>
#<alt (* y (+ x (* -1 (/ (* x z) y))))>
#<alt (* y (+ x (* -1 (/ (* x z) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ (* x z) y))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	(+ (* (neg z) x) z)
0.0ms	x	@	inf	(+ (* (neg z) x) (* x y))
0.0ms	x	@	-inf	(+ (* (neg z) x) (* x y))
0.0ms	z	@	-inf	(+ (* (neg z) x) z)
0.0ms	x	@	0	(+ (* (neg z) x) (* x y))

rewrite411.0ms (5.2%)

Memory

7.2MiB live, 516.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 632×	`lower-fma.f32`
5 628×	`lower-fma.f64`
3 470×	`lower-*.f32`
3 466×	`lower-*.f64`
2 564×	`lower-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	23
0	16	23
1	52	22
2	367	21
3	4243	18
0	10376	18

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

6 → 383

Calls

Call 1

Inputs
(*.f64 z (neg.f64 x))
(neg.f64 x)
(fma.f64 (neg.f64 z) x z)
(neg.f64 z)
(fma.f64 (neg.f64 z) x (*.f64 x y))
(*.f64 x y)

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 z x))
(exp.f64 (log.f64 (*.f64 z x)))
(exp.f64 (.f64 (log.f64 (.f64 z x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z x))
(neg.f64 (*.f64 z x))
(/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 z (.f64 z (.f64 x x)) (.f64 #s(literal 0 binary64) (*.f64 z x)))))
(/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z (.f64 z (.f64 x x)) (.f64 #s(literal 0 binary64) (*.f64 z x))))))
(/.f64 (.f64 z (.f64 z (.f64 x x))) (.f64 z x))
(/.f64 (.f64 z (.f64 z x)) z)
(/.f64 (.f64 (.f64 x (.f64 x x)) z) (.f64 x x))
(/.f64 (.f64 z (.f64 x (.f64 x x))) (.f64 x x))
(/.f64 (.f64 z (neg.f64 (.f64 x x))) x)
(/.f64 (.f64 x (.f64 z (.f64 z z))) (.f64 z z))
(/.f64 (.f64 (neg.f64 (.f64 x x)) z) x)
(/.f64 (.f64 (.f64 z (.f64 z z)) x) (.f64 z z))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) z)) (neg.f64 (.f64 x x)))
(/.f64 (neg.f64 (.f64 z (.f64 x (.f64 x x)))) (neg.f64 (.f64 x x)))
(/.f64 (neg.f64 (.f64 z (neg.f64 (.f64 x x)))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 x (.f64 z (.f64 z z)))) (.f64 z z))
(/.f64 (neg.f64 (.f64 (neg.f64 (.f64 x x)) z)) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (.f64 z (.f64 z z)) x)) (.f64 z z))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(*.f64 z x)
(*.f64 z (neg.f64 x))
(*.f64 z (neg.f64 (neg.f64 x)))
(*.f64 z (exp.f64 (log.f64 (neg.f64 x))))
(*.f64 z (exp.f64 (log.f64 x)))
(*.f64 x z)
(*.f64 (neg.f64 x) z)
(.f64 (.f64 z x) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 z x))
(.f64 #s(literal 1 binary64) (.f64 z x))
(*.f64 (neg.f64 (neg.f64 x)) z)
(*.f64 (exp.f64 (log.f64 (neg.f64 x))) z)
(*.f64 (exp.f64 (log.f64 x)) z)
(.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (.f64 z x))
(+.f64 (neg.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (neg.f64 x))
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(neg.f64 x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x x) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (neg.f64 (*.f64 x x)))))
(/.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(/.f64 (.f64 x (.f64 x x)) (neg.f64 (*.f64 x x)))
(/.f64 (.f64 x (.f64 x x)) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (.f64 x (.f64 x x)) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (neg.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 x x)) x)
(/.f64 (neg.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 x x)))) (neg.f64 (neg.f64 x)))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 (.f64 x x) (.f64 x (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 x (neg.f64 (*.f64 x x))) #s(literal -1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(+.f64 z (*.f64 z x))
(+.f64 (*.f64 z x) z)
(+.f64 (/.f64 (.f64 z (.f64 z (.f64 x x))) (fma.f64 z x z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 z x z))))
(+.f64 (fma.f64 z x #s(literal 0 binary64)) z)
(+.f64 (-.f64 z #s(literal 0 binary64)) (*.f64 z x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z x z))) #s(literal -1 binary64)))
(-.f64 z (*.f64 z x))
(-.f64 (*.f64 z x) z)
(-.f64 #s(literal 0 binary64) (fma.f64 z x z))
(-.f64 (/.f64 (.f64 z (.f64 z (.f64 x x))) (fma.f64 z x z)) (/.f64 (.f64 z z) (fma.f64 z x z)))
(-.f64 (/.f64 (.f64 z z) (fma.f64 z x z)) (/.f64 (.f64 z (.f64 z (.f64 x x))) (fma.f64 z x z)))
(-.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (fma.f64 z z (.f64 (.f64 z x) (fma.f64 z x z)))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 z z (.f64 (*.f64 z x) (fma.f64 z x z)))))
(-.f64 (fma.f64 z x #s(literal 0 binary64)) z)
(fma.f64 z x z)
(fma.f64 z (neg.f64 x) z)
(fma.f64 z #s(literal -1 binary64) (*.f64 z x))
(fma.f64 z (neg.f64 (neg.f64 x)) z)
(fma.f64 z (/.f64 (.f64 z (.f64 x x)) (fma.f64 z x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 z x z))))
(fma.f64 z (exp.f64 (log.f64 (neg.f64 x))) z)
(fma.f64 z (exp.f64 (log.f64 x)) z)
(fma.f64 x z z)
(fma.f64 x (/.f64 (.f64 z (.f64 z x)) (fma.f64 z x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 z x z))))
(fma.f64 (neg.f64 x) z z)
(fma.f64 (neg.f64 x) (/.f64 (.f64 z (.f64 z x)) (fma.f64 z x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 z x z))))
(fma.f64 (*.f64 z x) #s(literal -1 binary64) z)
(fma.f64 (.f64 z x) (/.f64 (.f64 z x) (fma.f64 z x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 z x z))))
(fma.f64 (.f64 z (.f64 z (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 z x z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 z x z))))
(fma.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal -1 binary64) (.f64 z z)) (.f64 z x))
(fma.f64 (.f64 z z) (/.f64 #s(literal -1 binary64) z) (.f64 z x))
(fma.f64 (.f64 z z) (/.f64 (.f64 x x) (fma.f64 z x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 z x z))))
(fma.f64 #s(literal -1 binary64) z (*.f64 z x))
(fma.f64 #s(literal -1 binary64) (*.f64 z x) z)
(fma.f64 (.f64 x x) (/.f64 (.f64 z z) (fma.f64 z x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 z x z))))
(fma.f64 #s(literal 1 binary64) (*.f64 z x) z)
(fma.f64 (.f64 z (.f64 z x)) (/.f64 x (fma.f64 z x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 z x z))))
(fma.f64 (.f64 z (.f64 x x)) (/.f64 z (fma.f64 z x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 z x z))))
(fma.f64 (neg.f64 (neg.f64 x)) z z)
(fma.f64 (/.f64 (.f64 z (.f64 z (.f64 x x))) (.f64 z (fma.f64 z (.f64 x x) z))) (fma.f64 z x z) (neg.f64 (/.f64 (.f64 z z) (fma.f64 z x z))))
(fma.f64 (/.f64 (.f64 z (.f64 z (.f64 x x))) (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z)))) (fma.f64 z z (.f64 (.f64 z x) (fma.f64 z x z))) (neg.f64 (/.f64 (.f64 z z) (fma.f64 z x z))))
(fma.f64 (exp.f64 (log.f64 (neg.f64 x))) z z)
(fma.f64 (exp.f64 (log.f64 x)) z z)
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 z x) z)
(neg.f64 (fma.f64 z x z))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z))) (fma.f64 z z (.f64 (.f64 z x) (fma.f64 z x z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z x z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z x z)) #s(literal 1 binary64))))
(/.f64 (.f64 z (fma.f64 z (.f64 x x) z)) (fma.f64 z x z))
(/.f64 (fma.f64 (.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) (.f64 (fma.f64 z z (.f64 (.f64 z x) (fma.f64 z x z))) (fma.f64 (.f64 z x) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (.f64 z (.f64 z (.f64 x x)))) (.f64 (.f64 z (.f64 z z)) (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 z x z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z x z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z x z)))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z))) (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z)))) (.f64 (fma.f64 z z (.f64 (.f64 z x) (fma.f64 z x z))) (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z)))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z))) (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z)))) (.f64 (fma.f64 z x z) (fma.f64 z (.f64 (.f64 z (.f64 x x)) (.f64 z (.f64 z (.f64 x x)))) (.f64 (.f64 z z) (.f64 z (fma.f64 z (.f64 x x) z))))))
(/.f64 (.f64 (.f64 z (fma.f64 z (.f64 x x) z)) (.f64 z (fma.f64 z (.f64 x x) z))) (.f64 (.f64 z (fma.f64 z (.f64 x x) z)) (fma.f64 z x z)))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 z (.f64 x x))) (fma.f64 z x z)) (.f64 (fma.f64 z x z) (.f64 z z))) (.f64 z (fma.f64 z (.f64 x x) z)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 z x) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (.f64 z (.f64 z (.f64 x x)))) (.f64 (.f64 z (.f64 z z)) (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z))))) (fma.f64 z z (.f64 (*.f64 z x) (fma.f64 z x z)))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z))) (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z)))) #s(literal 1 binary64)) (.f64 (fma.f64 z (.f64 (.f64 z (.f64 x x)) (.f64 z (.f64 z (.f64 x x)))) (.f64 (.f64 z z) (.f64 z (fma.f64 z (*.f64 x x) z)))) (fma.f64 z x z)))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z))) (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z)))) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z))) (fma.f64 z z (.f64 (*.f64 z x) (fma.f64 z x z)))))
(/.f64 (.f64 (.f64 (.f64 z (fma.f64 z (.f64 x x) z)) (.f64 z (fma.f64 z (.f64 x x) z))) #s(literal 1 binary64)) (.f64 (.f64 z (fma.f64 z (*.f64 x x) z)) (fma.f64 z x z)))
(/.f64 (neg.f64 (.f64 (.f64 z (fma.f64 z (.f64 x x) z)) (.f64 z (fma.f64 z (.f64 x x) z)))) (neg.f64 (.f64 (.f64 z (fma.f64 z (.f64 x x) z)) (fma.f64 z x z))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))))) (neg.f64 (.f64 (fma.f64 z z (.f64 (.f64 z x) (fma.f64 z x z))) (fma.f64 (.f64 z x) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (.f64 z (.f64 z (.f64 x x)))) (.f64 (.f64 z (.f64 z z)) (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z))))))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z))) (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z))))) (neg.f64 (.f64 (fma.f64 z x z) (fma.f64 z (.f64 (.f64 z (.f64 x x)) (.f64 z (.f64 z (.f64 x x)))) (.f64 (.f64 z z) (.f64 z (fma.f64 z (.f64 x x) z)))))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z))) (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z))))) (neg.f64 (.f64 (fma.f64 z z (.f64 (.f64 z x) (fma.f64 z x z))) (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z))))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) (.f64 (.f64 z (fma.f64 z (.f64 x x) z)) (fma.f64 z x z))) (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 z (fma.f64 z (.f64 x x) z)) (fma.f64 z x z)))) (fma.f64 (/.f64 (.f64 z (.f64 z (.f64 x x))) (fma.f64 z x z)) (/.f64 (.f64 z (.f64 z (.f64 x x))) (fma.f64 z x z)) (fma.f64 (/.f64 (.f64 z z) (fma.f64 z x z)) (/.f64 (.f64 z z) (fma.f64 z x z)) (.f64 (/.f64 (.f64 z (.f64 z (.f64 x x))) (fma.f64 z x z)) (/.f64 (*.f64 z z) (fma.f64 z x z))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 z (.f64 z (.f64 x x))) (fma.f64 z x z)) (/.f64 (.f64 z (.f64 z (.f64 x x))) (fma.f64 z x z))) (.f64 (/.f64 (.f64 z z) (fma.f64 z x z)) (/.f64 (.f64 z z) (fma.f64 z x z)))) (fma.f64 (.f64 z x) (/.f64 (.f64 z x) (fma.f64 z x z)) (/.f64 (*.f64 z z) (fma.f64 z x z))))
(/.f64 (-.f64 (.f64 z (.f64 z x)) (*.f64 z z)) z)
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z))) #s(literal 1 binary64)) (fma.f64 z z (.f64 (*.f64 z x) (fma.f64 z x z))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) (/.f64 #s(literal -1 binary64) (fma.f64 z z (.f64 (.f64 z x) (fma.f64 z x z))))) (fma.f64 (.f64 z x) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (.f64 z (.f64 z (.f64 x x)))) (.f64 (.f64 z (.f64 z z)) (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z))))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z))) (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z)))) (/.f64 #s(literal -1 binary64) (fma.f64 z z (.f64 (.f64 z x) (fma.f64 z x z))))) (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z))) (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z)))) (/.f64 #s(literal -1 binary64) (fma.f64 z x z))) (fma.f64 z (.f64 (.f64 z (.f64 x x)) (.f64 z (.f64 z (.f64 x x)))) (.f64 (.f64 z z) (.f64 z (fma.f64 z (.f64 x x) z)))))
(/.f64 (.f64 (.f64 (.f64 z (fma.f64 z (.f64 x x) z)) (.f64 z (fma.f64 z (.f64 x x) z))) (/.f64 #s(literal -1 binary64) (fma.f64 z x z))) (.f64 z (fma.f64 z (.f64 x x) z)))
(/.f64 (/.f64 (.f64 z (fma.f64 z (.f64 x x) z)) (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z)))) (/.f64 #s(literal -1 binary64) (fma.f64 z z (.f64 (.f64 z x) (fma.f64 z x z)))))
(/.f64 (/.f64 (.f64 z (fma.f64 z (.f64 x x) z)) (.f64 z (fma.f64 z (.f64 x x) z))) (/.f64 #s(literal -1 binary64) (fma.f64 z x z)))
(/.f64 (/.f64 (.f64 z (fma.f64 z (.f64 x x) z)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) z)
(/.f64 (-.f64 (.f64 x (.f64 z (.f64 z z))) (.f64 z (.f64 z z))) (.f64 z z))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) x) (.f64 z (.f64 z z))) (.f64 z z))
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(*.f64 (-.f64 z y) x)
(.f64 (/.f64 (.f64 x (+.f64 z y)) x) (/.f64 (*.f64 x (+.f64 z y)) (+.f64 z y)))
(.f64 (/.f64 (.f64 x (+.f64 z y)) x) (/.f64 (*.f64 x (+.f64 z y)) (-.f64 z y)))
(.f64 (/.f64 (.f64 x (+.f64 z y)) (.f64 (.f64 x (.f64 x x)) (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))))) (/.f64 (.f64 x (+.f64 z y)) (/.f64 #s(literal -1 binary64) (fma.f64 z (.f64 z (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 z y)))))))
(.f64 (/.f64 (.f64 (.f64 x (+.f64 z y)) (.f64 x (+.f64 z y))) (.f64 (.f64 x (.f64 x x)) (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))))) (fma.f64 z (.f64 z (.f64 x x)) (.f64 (.f64 x y) (*.f64 x (+.f64 z y)))))
(.f64 (/.f64 (.f64 (.f64 x (+.f64 z y)) (.f64 x (+.f64 z y))) (.f64 (.f64 x (+.f64 z y)) (.f64 x (+.f64 z y)))) (.f64 x (+.f64 z y)))
(.f64 (/.f64 (.f64 (.f64 x (+.f64 z y)) (.f64 x (+.f64 z y))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z y))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (fma.f64 (.f64 (.f64 x y) (.f64 x (+.f64 z y))) (.f64 (.f64 x y) (.f64 (.f64 x (+.f64 z y)) (.f64 (.f64 x y) (.f64 x (+.f64 z y))))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))))) (fma.f64 (.f64 (.f64 x y) (.f64 x (+.f64 z y))) (fma.f64 z (.f64 z (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 z y)))) (.f64 (.f64 z x) (.f64 (.f64 z (.f64 z z)) (.f64 x (*.f64 x x))))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (.f64 (fma.f64 z (.f64 z (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 z y)))) (fma.f64 z (.f64 z (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 z y)))))) (fma.f64 z (.f64 z (.f64 x x)) (.f64 (.f64 x y) (*.f64 x (+.f64 z y)))))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (.f64 (log.f64 (.f64 x y)) #s(literal 1 binary64)))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 x y)
(*.f64 y x)
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))

simplify304.0ms (3.9%)

Memory

7.5MiB live, 321.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 724×	`lower-fma.f64`
4 724×	`lower-fma.f32`
3 158×	`lower-*.f64`
3 158×	`lower-*.f32`
1 858×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	612
1	155	501
2	396	501
3	976	501
4	2654	501
5	4070	501
6	6411	501
0	8114	501

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 131

Calls

Call 1

Inputs
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* z (+ 1 (* -1 x)))
(* z (+ 1 (* -1 x)))
(* z (+ 1 (* -1 x)))
(* z (+ 1 (* -1 x)))
(* z (+ 1 (* -1 x)))
(* z (+ 1 (* -1 x)))
(* z (+ 1 (* -1 x)))
(* z (+ 1 (* -1 x)))
(* -1 (* z (- x 1)))
(* -1 (* z (- x 1)))
(* -1 (* z (- x 1)))
(* -1 (* z (- x 1)))
z
(+ z (* -1 (* x z)))
(+ z (* -1 (* x z)))
(+ z (* -1 (* x z)))
(* -1 (* x z))
(* x (+ (* -1 z) (/ z x)))
(* x (+ (* -1 z) (/ z x)))
(* x (+ (* -1 z) (/ z x)))
(* -1 (* x z))
(* -1 (* x (+ z (* -1 (/ z x)))))
(* -1 (* x (+ z (* -1 (/ z x)))))
(* -1 (* x (+ z (* -1 (/ z x)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* x y)
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(* -1 (* x z))
(* z (+ (* -1 x) (/ (* x y) z)))
(* z (+ (* -1 x) (/ (* x y) z)))
(* z (+ (* -1 x) (/ (* x y) z)))
(* -1 (* x z))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(* x (+ y (* -1 z)))
(* x (+ y (* -1 z)))
(* x (+ y (* -1 z)))
(* x (+ y (* -1 z)))
(* x (+ y (* -1 z)))
(* x (+ y (* -1 z)))
(* x (+ y (* -1 z)))
(* x (+ y (* -1 z)))
(* -1 (* x (+ z (* -1 y))))
(* -1 (* x (+ z (* -1 y))))
(* -1 (* x (+ z (* -1 y))))
(* -1 (* x (+ z (* -1 y))))
(* -1 (* x z))
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(* x y)
(* y (+ x (* -1 (/ (* x z) y))))
(* y (+ x (* -1 (/ (* x z) y))))
(* y (+ x (* -1 (/ (* x z) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)

Outputs
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* z (+ 1 (* -1 x)))
(-.f64 z (*.f64 x z))
(* z (+ 1 (* -1 x)))
(-.f64 z (*.f64 x z))
(* z (+ 1 (* -1 x)))
(-.f64 z (*.f64 x z))
(* z (+ 1 (* -1 x)))
(-.f64 z (*.f64 x z))
(* z (+ 1 (* -1 x)))
(-.f64 z (*.f64 x z))
(* z (+ 1 (* -1 x)))
(-.f64 z (*.f64 x z))
(* z (+ 1 (* -1 x)))
(-.f64 z (*.f64 x z))
(* z (+ 1 (* -1 x)))
(-.f64 z (*.f64 x z))
(* -1 (* z (- x 1)))
(-.f64 z (*.f64 x z))
(* -1 (* z (- x 1)))
(-.f64 z (*.f64 x z))
(* -1 (* z (- x 1)))
(-.f64 z (*.f64 x z))
(* -1 (* z (- x 1)))
(-.f64 z (*.f64 x z))
z
(+ z (* -1 (* x z)))
(-.f64 z (*.f64 x z))
(+ z (* -1 (* x z)))
(-.f64 z (*.f64 x z))
(+ z (* -1 (* x z)))
(-.f64 z (*.f64 x z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* x (+ (* -1 z) (/ z x)))
(-.f64 z (*.f64 x z))
(* x (+ (* -1 z) (/ z x)))
(-.f64 z (*.f64 x z))
(* x (+ (* -1 z) (/ z x)))
(-.f64 z (*.f64 x z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x (+ z (* -1 (/ z x)))))
(-.f64 z (*.f64 x z))
(* -1 (* x (+ z (* -1 (/ z x)))))
(-.f64 z (*.f64 x z))
(* -1 (* x (+ z (* -1 (/ z x)))))
(-.f64 z (*.f64 x z))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* x y)
(*.f64 x y)
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* z (+ (* -1 x) (/ (* x y) z)))
(*.f64 x (-.f64 y z))
(* z (+ (* -1 x) (/ (* x y) z)))
(*.f64 x (-.f64 y z))
(* z (+ (* -1 x) (/ (* x y) z)))
(*.f64 x (-.f64 y z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(*.f64 x (-.f64 y z))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(*.f64 x (-.f64 y z))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(*.f64 x (-.f64 y z))
(* x (+ y (* -1 z)))
(*.f64 x (-.f64 y z))
(* x (+ y (* -1 z)))
(*.f64 x (-.f64 y z))
(* x (+ y (* -1 z)))
(*.f64 x (-.f64 y z))
(* x (+ y (* -1 z)))
(*.f64 x (-.f64 y z))
(* x (+ y (* -1 z)))
(*.f64 x (-.f64 y z))
(* x (+ y (* -1 z)))
(*.f64 x (-.f64 y z))
(* x (+ y (* -1 z)))
(*.f64 x (-.f64 y z))
(* x (+ y (* -1 z)))
(*.f64 x (-.f64 y z))
(* -1 (* x (+ z (* -1 y))))
(*.f64 x (-.f64 y z))
(* -1 (* x (+ z (* -1 y))))
(*.f64 x (-.f64 y z))
(* -1 (* x (+ z (* -1 y))))
(*.f64 x (-.f64 y z))
(* -1 (* x (+ z (* -1 y))))
(*.f64 x (-.f64 y z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* y (+ x (* -1 (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* y (+ x (* -1 (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

eval78.0ms (1%)

Memory: -50.4MiB live, 139.7MiB allocated
Compiler: Compiled 10 021 to 822 computations (91.8% saved)

prune75.0ms (1%)

Memory

23.9MiB live, 145.6MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	552	2	554
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	552	8	560

Accuracy

100.0%

Counts

560 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.7%	(fma.f64 (neg.f64 z) x (*.f64 x y))
✓	64.7%	(fma.f64 (neg.f64 z) x z)
▶	35.8%	(fma.f64 z x z)
✓	100.0%	(fma.f64 x (-.f64 y z) z)
✓	31.9%	(*.f64 z (neg.f64 x))
▶	3.4%	(*.f64 z x)
✓	67.0%	(*.f64 x (-.f64 y z))
✓	40.5%	(*.f64 x y)

Compiler

Compiled 61 to 38 computations (37.7% saved)

simplify7.0ms (0.1%)

Memory

-23.7MiB live, 14.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 z x z)
✓	cost-diff	0	(*.f64 z x)

Rules

28×	`lower-*.f32`
26×	`lower-*.f64`
16×	`lower-fma.f32`
14×	`lower-fma.f64`
8×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	11
0	6	11
1	8	11
2	11	11
3	15	11
4	21	11
5	21	11
6	34	11
7	34	11
0	34	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 z x)
z
x
(fma.f64 z x z)
z
x

Outputs
(*.f64 z x)
z
x
(fma.f64 z x z)
z
x

localize18.0ms (0.2%)

Memory

-1.6MiB live, 36.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 z x z)
✓	accuracy	100.0%	(*.f64 z x)

Samples

13.0ms

256×

valid

Compiler

Compiled 14 to 7 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (62.3% of total)

ival-add: 1.0ms (31.2% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (*.f64 z x)>
#<alt (fma.f64 z x z)>

Outputs
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* z (+ 1 x))>
#<alt (* z (+ 1 x))>
#<alt (* z (+ 1 x))>
#<alt (* z (+ 1 x))>
#<alt (* z (+ 1 x))>
#<alt (* z (+ 1 x))>
#<alt (* z (+ 1 x))>
#<alt (* z (+ 1 x))>
#<alt (* -1 (* z (- (* -1 x) 1)))>
#<alt (* -1 (* z (- (* -1 x) 1)))>
#<alt (* -1 (* z (- (* -1 x) 1)))>
#<alt (* -1 (* z (- (* -1 x) 1)))>
#<alt z>
#<alt (+ z (* x z))>
#<alt (+ z (* x z))>
#<alt (+ z (* x z))>
#<alt (* x z)>
#<alt (* x (+ z (/ z x)))>
#<alt (* x (+ z (/ z x)))>
#<alt (* x (+ z (/ z x)))>
#<alt (* x z)>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ z x)))))>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	z	@	-inf	(+ (* z x) z)
0.0ms	z	@	inf	(+ (* z x) z)
0.0ms	z	@	-inf	(* z x)
0.0ms	x	@	-inf	(* z x)
0.0ms	x	@	-inf	(+ (* z x) z)

rewrite665.0ms (8.5%)

Memory

4.5MiB live, 757.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

18 392×	`lower-fma.f32`
18 390×	`lower-fma.f64`
4 258×	`lower-*.f32`
4 256×	`lower-*.f64`
4 054×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
0	6	7
1	21	7
2	146	7
3	1459	7
0	8296	7

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

2 → 223

Calls

Call 1

Inputs
(*.f64 z x)
(fma.f64 z x z)

Outputs
(exp.f64 (log.f64 (*.f64 z x)))
(exp.f64 (.f64 (log.f64 (.f64 z x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(*.f64 z x)
(*.f64 z (pow.f64 x #s(literal 1 binary64)))
(*.f64 z (exp.f64 (log.f64 x)))
(*.f64 x z)
(*.f64 (pow.f64 x #s(literal 1 binary64)) z)
(*.f64 (exp.f64 (log.f64 x)) z)
(.f64 (pow.f64 (.f64 z x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z x) #s(literal 1/2 binary64)))
(+.f64 z (*.f64 z x))
(+.f64 (*.f64 z x) z)
(+.f64 (.f64 z x) (.f64 #s(literal 1 binary64) z))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 z z))) (fma.f64 z x (neg.f64 z))) (neg.f64 (/.f64 (.f64 z z) (fma.f64 z x (neg.f64 z)))))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 z z))) (fma.f64 z x (neg.f64 z))) (.f64 (neg.f64 z) (/.f64 z (fma.f64 z x (neg.f64 z)))))
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(.f64 (/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z))) (-.f64 (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))) (.f64 z (.f64 z z)))) (fma.f64 (.f64 z x) (fma.f64 z x (neg.f64 z)) (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))) (.f64 z (.f64 z z)))))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z))) (-.f64 (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))) (.f64 z (.f64 z z)))) (fma.f64 z x (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (.f64 z (fma.f64 z (.f64 x x) z)) (.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 x (.f64 x (*.f64 z z)))))))
(.f64 (/.f64 (.f64 (.f64 z (-.f64 (.f64 z (.f64 x x)) z)) (.f64 z (fma.f64 z (.f64 x x) z))) (fma.f64 z x (neg.f64 z))) (/.f64 #s(literal 1 binary64) (.f64 z (fma.f64 z (*.f64 x x) z))))
(.f64 (/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z))) (fma.f64 (.f64 z (.f64 z z)) (.f64 (-.f64 z (.f64 z x)) (.f64 (-.f64 z (.f64 z x)) (-.f64 z (.f64 z x)))) (.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 x (.f64 x (.f64 z z))))))) (fma.f64 z (.f64 (.f64 z (.f64 x x)) (.f64 x (.f64 x (.f64 z z)))) (.f64 (.f64 z (-.f64 z (.f64 z x))) (fma.f64 z (-.f64 z (.f64 z x)) (neg.f64 (.f64 x (.f64 x (.f64 z z))))))))
(.f64 (/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z))) (.f64 (fma.f64 (.f64 z x) (fma.f64 z x (neg.f64 z)) (.f64 z z)) (.f64 z (-.f64 (.f64 z (.f64 x x)) (-.f64 z (.f64 z x)))))) (.f64 z (-.f64 (.f64 z (.f64 x x)) (-.f64 z (.f64 z x)))))
(.f64 (/.f64 (.f64 z (-.f64 (.f64 z (.f64 x x)) z)) (-.f64 (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))) (.f64 z (.f64 z z)))) (fma.f64 z (fma.f64 z x z) (.f64 x (.f64 x (.f64 z z)))))
(.f64 (pow.f64 (/.f64 (fma.f64 z x (neg.f64 z)) (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z))) (-.f64 (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))) (.f64 z (.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (.f64 z (fma.f64 z (.f64 x x) z)) (.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 x (.f64 x (*.f64 z z)))))))
(.f64 (pow.f64 (/.f64 (fma.f64 z x (neg.f64 z)) (.f64 (.f64 z (-.f64 (.f64 z (.f64 x x)) z)) (.f64 z (fma.f64 z (.f64 x x) z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 z (fma.f64 z (*.f64 x x) z))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 z x) (fma.f64 z x (neg.f64 z)) (.f64 z z)) (fma.f64 (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))) (.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 x (.f64 x (.f64 z z))))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 z z)) (-.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z)))))) (.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 x (.f64 x (*.f64 z z))))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 z x) (fma.f64 z x (neg.f64 z)) (.f64 z z)) (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 z (.f64 z z))) (-.f64 (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))) (.f64 z (.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))) (.f64 z (.f64 z z)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z x z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z x z)) #s(literal -1/2 binary64)))

simplify312.0ms (4%)

Memory

-2.2MiB live, 213.2MiB allocated

Algorithm

1×	egg-herbie

Rules

3 752×	`lower-fma.f64`
3 752×	`lower-fma.f32`
2 176×	`lower-*.f64`
2 176×	`lower-*.f32`
1 346×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	184
1	64	184
2	151	184
3	328	184
4	786	184
5	1769	184
6	2575	184
7	3378	184
8	3860	184
9	4113	184
10	4125	184
11	4125	184
12	4646	184
13	5275	184
14	5626	184
15	5775	184
16	5899	184
17	6417	184
18	7426	184
19	7624	184
20	7822	184
21	7840	184
0	8382	163

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

Inputs
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* z (+ 1 x))
(* z (+ 1 x))
(* z (+ 1 x))
(* z (+ 1 x))
(* z (+ 1 x))
(* z (+ 1 x))
(* z (+ 1 x))
(* z (+ 1 x))
(* -1 (* z (- (* -1 x) 1)))
(* -1 (* z (- (* -1 x) 1)))
(* -1 (* z (- (* -1 x) 1)))
(* -1 (* z (- (* -1 x) 1)))
z
(+ z (* x z))
(+ z (* x z))
(+ z (* x z))
(* x z)
(* x (+ z (/ z x)))
(* x (+ z (/ z x)))
(* x (+ z (/ z x)))
(* x z)
(* -1 (* x (+ (* -1 z) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ z x)))))

Outputs
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* z (+ 1 x))
(fma.f64 x z z)
(* z (+ 1 x))
(fma.f64 x z z)
(* z (+ 1 x))
(fma.f64 x z z)
(* z (+ 1 x))
(fma.f64 x z z)
(* z (+ 1 x))
(fma.f64 x z z)
(* z (+ 1 x))
(fma.f64 x z z)
(* z (+ 1 x))
(fma.f64 x z z)
(* z (+ 1 x))
(fma.f64 x z z)
(* -1 (* z (- (* -1 x) 1)))
(fma.f64 x z z)
(* -1 (* z (- (* -1 x) 1)))
(fma.f64 x z z)
(* -1 (* z (- (* -1 x) 1)))
(fma.f64 x z z)
(* -1 (* z (- (* -1 x) 1)))
(fma.f64 x z z)
z
(+ z (* x z))
(fma.f64 x z z)
(+ z (* x z))
(fma.f64 x z z)
(+ z (* x z))
(fma.f64 x z z)
(* x z)
(*.f64 x z)
(* x (+ z (/ z x)))
(fma.f64 x z z)
(* x (+ z (/ z x)))
(fma.f64 x z z)
(* x (+ z (/ z x)))
(fma.f64 x z z)
(* x z)
(*.f64 x z)
(* -1 (* x (+ (* -1 z) (* -1 (/ z x)))))
(fma.f64 x z z)
(* -1 (* x (+ (* -1 z) (* -1 (/ z x)))))
(fma.f64 x z z)
(* -1 (* x (+ (* -1 z) (* -1 (/ z x)))))
(fma.f64 x z z)

eval32.0ms (0.4%)

Memory: 8.2MiB live, 81.9MiB allocated
Compiler: Compiled 9 508 to 509 computations (94.6% saved)

prune42.0ms (0.5%)

Memory

-11.9MiB live, 102.7MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	270	0	270
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	270	8	278

Accuracy

100.0%

Counts

278 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.7%	(fma.f64 (neg.f64 z) x (*.f64 x y))
✓	64.7%	(fma.f64 (neg.f64 z) x z)
✓	35.8%	(fma.f64 z x z)
✓	100.0%	(fma.f64 x (-.f64 y z) z)
✓	31.9%	(*.f64 z (neg.f64 x))
✓	3.4%	(*.f64 z x)
✓	67.0%	(*.f64 x (-.f64 y z))
✓	40.5%	(*.f64 x y)

Compiler

Compiled 123 to 59 computations (52% saved)

regimes19.0ms (0.2%)

Memory

18.7MiB live, 55.1MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 z x)
(fma.f64 z x z)
(*.f64 z (neg.f64 x))
(*.f64 x (-.f64 y z))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(fma.f64 x (-.f64 y z) z)
(fma.f64 (neg.f64 z) x (*.f64 x y))
(+.f64 (.f64 x y) (.f64 (neg.f64 x) z))
(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Outputs
(fma.f64 x (-.f64 y z) z)

Calls

4 calls:

7.0ms	y
4.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
4.0ms	z
4.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes13.0ms (0.2%)

Memory

1.3MiB live, 40.8MiB allocated

Counts

7 → 3

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 z x)
(fma.f64 z x z)
(*.f64 z (neg.f64 x))
(*.f64 x (-.f64 y z))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)

Outputs
(*.f64 x (-.f64 y z))
(fma.f64 (neg.f64 z) x z)
(*.f64 x (-.f64 y z))

Calls

4 calls:

4.0ms	z
3.0ms	x
3.0ms	y
3.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Results

Accuracy	Segments	Branch
89.8%	3	`x`
83.7%	3	`y`
83.2%	3	`z`
77.9%	3	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes3.0ms (0%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 z x)
(fma.f64 z x z)
(*.f64 z (neg.f64 x))
(*.f64 x (-.f64 y z))
(-.f64 z (*.f64 z x))

Outputs
(*.f64 x (-.f64 y z))
(-.f64 z (*.f64 z x))
(*.f64 x (-.f64 y z))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
89.8%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Memory

-33.9MiB live, 9.8MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 z x)
(fma.f64 z x z)
(*.f64 z (neg.f64 x))
(*.f64 x (-.f64 y z))

Outputs
(*.f64 x (-.f64 y z))
(fma.f64 z x z)
(*.f64 x (-.f64 y z))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
89.5%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

28.8MiB live, 28.8MiB allocated

Counts

4 → 4

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 z x)
(fma.f64 z x z)
(*.f64 z (neg.f64 x))

Outputs
(*.f64 z (neg.f64 x))
(*.f64 x y)
(fma.f64 z x z)
(*.f64 z (neg.f64 x))

Calls

4 calls:

2.0ms	y
2.0ms	x
2.0ms	z
2.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Results

Accuracy	Segments	Branch
54.0%	3	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
61.2%	5	`z`
60.3%	4	`y`
67.3%	4	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes2.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 z x)
(fma.f64 z x z)

Outputs
(*.f64 x y)
(fma.f64 z x z)
(*.f64 x y)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
63.0%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

-16.8MiB live, 20.8MiB allocated

Accuracy

Total -23.9b remaining (-62.7%)

Threshold costs -23.9b (-62.7%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 z x)

Outputs
(*.f64 x y)

Calls

4 calls:

3.0ms	x
2.0ms	z
1.0ms	y
1.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Results

Accuracy	Segments	Branch
40.5%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
40.5%	1	`z`
40.5%	1	`y`
40.5%	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch175.0ms (2.2%)

Memory

13.0MiB live, 52.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1718354164.0209727	347627879616048.1
161.0ms	-5.735533441563937e-16	-5.875990653208313e-25

Samples

13.0ms

288×

valid

Compiler

Compiled 339 to 230 computations (32.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 4.0ms (62.2% of total)

ival-sub: 1.0ms (15.5% of total)

ival-add: 1.0ms (15.5% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1718354164.0209727	347627879616048.1
1.0ms	-5.735533441563937e-16	-5.875990653208313e-25

Compiler

Compiled 339 to 230 computations (32.2% saved)

bsearch62.0ms (0.8%)

Memory

-6.7MiB live, 32.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
60.0ms	3.28262799675275e-15	156338030.79189104
1.0ms	-5.735533441563937e-16	-5.875990653208313e-25

Samples

54.0ms

176×

valid

Compiler

Compiled 355 to 234 computations (34.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (49.2% of total)

ival-sub: 1.0ms (24.6% of total)

ival-add: 1.0ms (24.6% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch131.0ms (1.7%)

Memory

8.6MiB live, 49.0MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.28262799675275e-15	156338030.79189104
10.0ms	-5.735533441563937e-16	-5.875990653208313e-25
105.0ms	-1.1740753579246064e+202	-9.623073821905908e+193

Samples

20.0ms

432×

valid

Compiler

Compiled 461 to 324 computations (29.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 5.0ms (51.5% of total)

ival-sub: 2.0ms (20.6% of total)

ival-add: 2.0ms (20.6% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch7.0ms (0.1%)

Memory

-33.2MiB live, 3.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	3.28262799675275e-15	156338030.79189104
1.0ms	-5.735533441563937e-16	-5.875990653208313e-25

Compiler

Compiled 315 to 214 computations (32.1% saved)

simplify9.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
10×	`+-commutative_binary64`
10×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	122
1	55	122
2	64	122
3	68	122
4	69	122

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x (-.f64 y z) z)
(if (<=.f64 x #s(literal -7656353255721115/21267647932558653966460912964485513216 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 7800000000 binary64)) (fma.f64 (neg.f64 z) x z) (.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -7656353255721115/21267647932558653966460912964485513216 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 7800000000 binary64)) (-.f64 z (.f64 z x)) (*.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -7656353255721115/21267647932558653966460912964485513216 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 3565267313141895/79228162514264337593543950336 binary64)) (fma.f64 z x z) (.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -359999999999999975506791380394492470957363091420611645896086489609231420462224733992775685819125092602338986707636263545888853795815376551829355103860758231451973471415807724758173994516135256665358336 binary64)) (.f64 z (neg.f64 x)) (if (<=.f64 x #s(literal -6084722881095501/20282409603651670423947251286016 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 z x z) (*.f64 z (neg.f64 x)))))
(if (<=.f64 x #s(literal -6084722881095501/20282409603651670423947251286016 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 3565267313141895/79228162514264337593543950336 binary64)) (fma.f64 z x z) (.f64 x y)))
(*.f64 x y)

Outputs
(fma.f64 x (-.f64 y z) z)
(if (<=.f64 x #s(literal -7656353255721115/21267647932558653966460912964485513216 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 7800000000 binary64)) (fma.f64 (neg.f64 z) x z) (.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -7656353255721115/21267647932558653966460912964485513216 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 7800000000 binary64)) (-.f64 z (.f64 z x)) (*.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -7656353255721115/21267647932558653966460912964485513216 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 7800000000 binary64)) (-.f64 z (.f64 x z)) (*.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -7656353255721115/21267647932558653966460912964485513216 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 3565267313141895/79228162514264337593543950336 binary64)) (fma.f64 z x z) (.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -359999999999999975506791380394492470957363091420611645896086489609231420462224733992775685819125092602338986707636263545888853795815376551829355103860758231451973471415807724758173994516135256665358336 binary64)) (.f64 z (neg.f64 x)) (if (<=.f64 x #s(literal -6084722881095501/20282409603651670423947251286016 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 z x z) (*.f64 z (neg.f64 x)))))
(if (<=.f64 x #s(literal -359999999999999975506791380394492470957363091420611645896086489609231420462224733992775685819125092602338986707636263545888853795815376551829355103860758231451973471415807724758173994516135256665358336 binary64)) (neg.f64 (.f64 x z)) (if (<=.f64 x #s(literal -6084722881095501/20282409603651670423947251286016 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 z x z) (neg.f64 (*.f64 x z)))))
(if (<=.f64 x #s(literal -6084722881095501/20282409603651670423947251286016 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 3565267313141895/79228162514264337593543950336 binary64)) (fma.f64 z x z) (.f64 x y)))
(*.f64 x y)

soundness1.2s (15%)

Memory

2.7MiB live, 608.7MiB allocated

Rules

9 314×	`lower-fma.f32`
9 312×	`lower-fma.f64`
7 472×	`lower-fma.f64`
7 472×	`lower-fma.f32`
5 944×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	23
0	16	23
1	52	22
2	367	21
3	4243	18
0	10376	18
0	12	39
0	21	36
1	84	36
2	618	36
0	8335	36
0	85	1031
1	285	1007
2	800	1007
3	2430	1007
4	5188	1007
5	6753	1007
6	7818	1007
0	8286	980
0	57	471
1	192	442
2	558	442
3	1390	442
4	3891	442
5	6310	442
0	8026	415

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 287 to 138 computations (51.9% saved)

preprocess44.0ms (0.6%)

Memory: 5.9MiB live, 120.3MiB allocated
Compiler: Compiled 274 to 88 computations (67.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
0	12	24
1	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	246	22
7	396	22
8	557	22
9	624	22
10	626	22
0	626	21

Iter	Nodes	Cost
0	12	58
0	21	55
1	39	55
2	54	55
3	93	55
4	158	55
5	272	55
6	467	55
7	577	55
8	625	55
9	625	55
0	625	55

Iter	Nodes	Cost
0	9	32
0	16	32
1	29	31
2	49	30
3	84	30
4	132	30
5	216	30
6	370	30
7	454	30
8	475	30
0	475	30

Iter	Nodes	Cost
0	8	24
0	12	24
1	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	246	22
7	396	22
8	557	22
9	624	22
10	626	22
0	626	21

Iter	Nodes	Cost
0	12	58
0	21	55
1	39	55
2	54	55
3	93	55
4	158	55
5	272	55
6	467	55
7	577	55
8	625	55
9	625	55
0	625	55

Iter	Nodes	Cost
0	9	32
0	16	32
1	29	31
2	49	30
3	84	30
4	132	30
5	216	30
6	370	30
7	454	30
8	475	30
0	475	30

analyze0.0ms (0%)

sample1.3s (16.4%)

preprocess143.0ms (1.8%)

explain376.0ms (4.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify166.0ms (2.1%)

localize23.0ms (0.3%)

series8.0ms (0.1%)

rewrite588.0ms (7.5%)

simplify236.0ms (3%)

eval85.0ms (1.1%)

prune52.0ms (0.7%)

simplify30.0ms (0.4%)

localize43.0ms (0.5%)

series17.0ms (0.2%)

rewrite344.0ms (4.4%)

simplify423.0ms (5.4%)

eval134.0ms (1.7%)

prune76.0ms (1%)

simplify156.0ms (2%)

localize27.0ms (0.3%)

series8.0ms (0.1%)

rewrite411.0ms (5.2%)

simplify304.0ms (3.9%)

eval78.0ms (1%)

prune75.0ms (1%)

simplify7.0ms (0.1%)

localize18.0ms (0.2%)

series3.0ms (0%)

rewrite665.0ms (8.5%)

simplify312.0ms (4%)

eval32.0ms (0.4%)

prune42.0ms (0.5%)

regimes19.0ms (0.2%)

regimes13.0ms (0.2%)

regimes3.0ms (0%)

regimes6.0ms (0.1%)

regimes9.0ms (0.1%)

regimes2.0ms (0%)

regimes8.0ms (0.1%)

bsearch175.0ms (2.2%)

bsearch1.0ms (0%)

bsearch62.0ms (0.8%)

bsearch131.0ms (1.7%)

bsearch7.0ms (0.1%)

simplify9.0ms (0.1%)

soundness1.2s (15%)

preprocess44.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	24
0	12	24
1	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	246	22
7	396	22
8	557	22
9	624	22
10	626	22
0	626	21

Iter	Nodes	Cost
0	12	58
0	21	55
1	39	55
2	54	55
3	93	55
4	158	55
5	272	55
6	467	55
7	577	55
8	625	55
9	625	55
0	625	55

Iter	Nodes	Cost
0	9	32
0	16	32
1	29	31
2	49	30
3	84	30
4	132	30
5	216	30
6	370	30
7	454	30
8	475	30
0	475	30